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Finding the Fourth Proportional to 53,830,226,725.70, 80,745,340,088.55 and 53,830,226,725.70

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Solution

The fourth proportional to 53,830,226,725.70, 80,745,340,088.55 and 53,830,226,725.70 is: 80,745,340,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830,226,725.70 : 80,745,340,088.55 = 53,830,226,725.70 : x
  2. Step 2: Convert to fraction form
    53,830,226,725.70/80,745,340,088.55 = 53,830,226,725.70/x
  3. Step 3: Cross multiply
    53,830,226,725.70x = 80,745,340,088.55 × 53,830,226,725.70
  4. Step 4: Simplify right side
    53,830,226,725.70x = 4,346,539,964,010,399,793,152
  5. Step 5: Solve for x
    x = 4,346,539,964,010,399,793,152/53,830,226,725.70
  6. Step 6: Final answer
    x = 80,745,340,088.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.